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Finding the Fourth Proportional to 135.39, 202.99 and 54.17

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Solution

The fourth proportional to 135.39, 202.99 and 54.17 is: 81.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.39 : 202.99 = 54.17 : x
  2. Step 2: Convert to fraction form
    135.39/202.99 = 54.17/x
  3. Step 3: Cross multiply
    135.39x = 202.99 × 54.17
  4. Step 4: Simplify right side
    135.39x = 10,995.70
  5. Step 5: Solve for x
    x = 10,995.70/135.39
  6. Step 6: Final answer
    x = 81.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.